Common fixed points versus invariant approximation in nonconvex sets.
Fixed point theorems for generalized weakly contractive condition in ordered metric spaces.
New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions
The purpose of this paper is to derive new common fixed point theorems for a pair of mappings satisfying a more general weakly contractive condition with weaker control functions in a complete metric space. Applications to new fixed point results with conditions of integral type are also given. We furnish an example to demonstrate that these results improve the previously existing ones.
Best approximation for nonconvex set in -normed space
Some existence results on best approximation are proved without starshaped subset and affine mapping in the set up of -normed space. First, we consider the closed subset and then weakly compact subsets for said purpose. Our results improve the result of Mukherjee and Som (Mukherjee, R. N., Som, T., A note on an application of a fixed point theorem in approximation theory, Indian J. Pure Appl. Math. 16(3) (1985), 243–244.) and Jungck and Sessa (Jungck, G., Sessa, S., Fixed point theorems in best...
Application of fixed point theorem to best simultaneous approximation in convex metric spaces
Fixed Point Theorems Via Various Cyclic Contractive Conditions in Partial Metric Spaces
Solution to Fredholm integral inclusions via ( F, δ b )-contractions
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
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