we introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in banach spaces and prove weak convergence of the iterative sequence using (i)opial’s condition and (ii) kadec-klee property. strong convergence theorems are also established in banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancom...

P L Powar and GRK Sahu [14] noticed that the fixed point may not exist for some self maps T defined on a set X. To deal with such cases idea of Serendipity had been introduced by in 2015. Considering lighter concept completeness viz. weak completeness, existence uniqueness established under contraction condition. In this paper we result serendipity PGA [15] Akhilesh Pathak 2018. This be useful ...

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

in the present paper, we give a new approach to caristi's fixed pointtheorem on non-archimedean fuzzy metric spaces. for this we define anordinary metric $d$ using the non-archimedean fuzzy metric $m$ on a nonemptyset $x$ and we establish some relationship between $(x,d)$ and $(x,m,ast )$%. hence, we prove our result by considering the original caristi's fixedpoint theorem.

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class symmetric mappings, which generalization cyclic ϕ-contraction mappings. With the help these characterization completeness given by Cobzas (2016) extended here for spaces. existence solution Fredholm integral equation also obtained via fixed-point formulation such

Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.

Abstract In this work we define the concepts of coupled orbit and orbitally completeness. After then, using method Bollenbacher Hicks [8], prove some Caristi type fixed point theorems in complete metric spaces for a function P : E × → E. We also give two examples that support our results.