In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair... more In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces.
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
Hacettepe Journal of Mathematics and Statistics, Oct 18, 2017
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
In this paper, we present a common fixed point theorem for expansion type mappings in complete co... more In this paper, we present a common fixed point theorem for expansion type mappings in complete cone metric spaces. This result generalizes and extends the theorem of S. Z. Wang, B. Y. Li and Z. M. Gao and K. Iseki [8, Theorem 4] for a pair of mappings to cone metric spaces.
Applied Mathematics and Mechanics-english Edition, May 1, 2001
By using functions, some related fixed point theorems on two metric spaces are established. These... more By using functions, some related fixed point theorems on two metric spaces are established. These results generalize some theorems of Fisher.
Rendiconti Del Circolo Matematico Di Palermo, Jun 8, 2011
In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satis... more In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satisfying different contractive type conditions. Some of these theorems generalize some results of Wairojjana et al. (Fixed Point Theory and Applications (2015) 2015:69). Several examples in support of the theorems are also presented here.
International Journal of Mathematics and Mathematical Sciences, 1996
In this paper we prove a common fixed point theorem for four mappings of compatible type(R) in fu... more In this paper we prove a common fixed point theorem for four mappings of compatible type(R) in fuzzy metric spaces.
In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-s... more In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K-sequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results.
International Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems fo... more By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is d... more Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defined to be the limit of the sequence} { gfn ∗ , where)()() ( xxfxf nn τ = and)(xnτ is a certain function with compact support and the sequence} { nτ converges to the identity function on the real line. The neutrix convolution of the functions ++ xxr ln and xeλ is evaluated for ",2,1,0=r and all 0≠λ. Further neutrix convolutions are then deduced. The exponential integral) ( xei λ, see Sneddon [7], can be defined on the real line for 0≠λ by [ ],ln)1()1() ( 1 ∫ ∞ − − −−−−x t xxHdttHetxei λ λλλ where H denotes Heaviside's function. In particular, if 0<λ, it was shown in [4] that () ∫ −−−−− = −−x t xdtetxei 0 1 ln1ln) ( λλγλ, (1) for 0>x, where []dttHet t)1 ( =
The neutrix convolution of two locally summable functions or distributions f and g is defined to ... more The neutrix convolution of two locally summable functions or distributions f and g is defined to be the limit of the sequence } { g fn ∗ , where ) ( ) ( ) ( x x f x f n n τ = and ) (x n τ is a certain function with compact support and the sequence } { n τ converges to the identity function on the real line. The neutrix convolution of the functions + + x x r ln and x e λ is evaluated for " , 2 , 1 , 0 = r and all 0 ≠ λ . Further neutrix convolutions are then deduced.
In this paper we present some fixed point results for contractive mappings in complete cone metri... more In this paper we present some fixed point results for contractive mappings in complete cone metric spaces. Under special conditions, our results are generalizations of the results of Huang Long-Guang and Zhang Xian (Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007), and Sh. Rezapour and R. Hamlbarani (Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719–724, 2008).
In this paper, we present a common fixed point theorem for expansion type mappings in complete co... more In this paper, we present a common fixed point theorem for expansion type mappings in complete cone metric spaces. This result generalizes and extends the theorem of S. Z. Wang, B. Y. Li and Z. M. Gao and K. Iseki [8, Theorem 4] for a pair of mappings to cone metric spaces.
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair... more In this paper, using the method of Hicks, we prove some new related fixed point theorems for pair of mappings on two d-complete topological spaces under the suitable conditions. We also derive some related fixed point theorems from our main results. Finally, by using w-continuity, we establish a related fixed point theorem in d-complete Hausdorff topological spaces.
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
Hacettepe Journal of Mathematics and Statistics, Oct 18, 2017
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
In this paper, we present a common fixed point theorem for expansion type mappings in complete co... more In this paper, we present a common fixed point theorem for expansion type mappings in complete cone metric spaces. This result generalizes and extends the theorem of S. Z. Wang, B. Y. Li and Z. M. Gao and K. Iseki [8, Theorem 4] for a pair of mappings to cone metric spaces.
Applied Mathematics and Mechanics-english Edition, May 1, 2001
By using functions, some related fixed point theorems on two metric spaces are established. These... more By using functions, some related fixed point theorems on two metric spaces are established. These results generalize some theorems of Fisher.
Rendiconti Del Circolo Matematico Di Palermo, Jun 8, 2011
In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satis... more In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satisfying different contractive type conditions. Some of these theorems generalize some results of Wairojjana et al. (Fixed Point Theory and Applications (2015) 2015:69). Several examples in support of the theorems are also presented here.
International Journal of Mathematics and Mathematical Sciences, 1996
In this paper we prove a common fixed point theorem for four mappings of compatible type(R) in fu... more In this paper we prove a common fixed point theorem for four mappings of compatible type(R) in fuzzy metric spaces.
In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-s... more In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K-sequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results.
International Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems fo... more By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is d... more Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defined to be the limit of the sequence} { gfn ∗ , where)()() ( xxfxf nn τ = and)(xnτ is a certain function with compact support and the sequence} { nτ converges to the identity function on the real line. The neutrix convolution of the functions ++ xxr ln and xeλ is evaluated for ",2,1,0=r and all 0≠λ. Further neutrix convolutions are then deduced. The exponential integral) ( xei λ, see Sneddon [7], can be defined on the real line for 0≠λ by [ ],ln)1()1() ( 1 ∫ ∞ − − −−−−x t xxHdttHetxei λ λλλ where H denotes Heaviside's function. In particular, if 0<λ, it was shown in [4] that () ∫ −−−−− = −−x t xdtetxei 0 1 ln1ln) ( λλγλ, (1) for 0>x, where []dttHet t)1 ( =
The neutrix convolution of two locally summable functions or distributions f and g is defined to ... more The neutrix convolution of two locally summable functions or distributions f and g is defined to be the limit of the sequence } { g fn ∗ , where ) ( ) ( ) ( x x f x f n n τ = and ) (x n τ is a certain function with compact support and the sequence } { n τ converges to the identity function on the real line. The neutrix convolution of the functions + + x x r ln and x e λ is evaluated for " , 2 , 1 , 0 = r and all 0 ≠ λ . Further neutrix convolutions are then deduced.
In this paper we present some fixed point results for contractive mappings in complete cone metri... more In this paper we present some fixed point results for contractive mappings in complete cone metric spaces. Under special conditions, our results are generalizations of the results of Huang Long-Guang and Zhang Xian (Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332, 1468–1476, 2007), and Sh. Rezapour and R. Hamlbarani (Some notes on the paper ”Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl. 345, 719–724, 2008).
In this paper, we present a common fixed point theorem for expansion type mappings in complete co... more In this paper, we present a common fixed point theorem for expansion type mappings in complete cone metric spaces. This result generalizes and extends the theorem of S. Z. Wang, B. Y. Li and Z. M. Gao and K. Iseki [8, Theorem 4] for a pair of mappings to cone metric spaces.
In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and... more In this paper, we extend the generalized Caristi's fixed point theorem proved by Bollenbacher and Hicks to p-orbitally complete fuzzy metric spaces by considering the fuzzy metric spaces in the sense of George and Veeramani. We also give some illustrative examples that support our results.
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